8610877440 has 624 divisors, whose sum is σ = 33856482816. Its totient is φ = 2005401600.

The previous prime is 8610877439. The next prime is 8610877531. The reversal of 8610877440 is 447780168.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62853052 + ... + 62853188.

It is an arithmetic number, because the mean of its divisors is an integer number (54257184).

Almost surely, 2^8610877440 is an apocalyptic number.

8610877440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8610877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928241408).

8610877440 is an abundant number, since it is smaller than the sum of its proper divisors (25245605376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8610877440 is a wasteful number, since it uses less digits than its factorization.

8610877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8610877440 is about 92794.8136481776. The cubic root of 8610877440 is about 2049.6630372194.

The spelling of 8610877440 in words is "eight billion, six hundred ten million, eight hundred seventy-seven thousand, four hundred forty".